Question

Explain why (7 x 13 x 11) + 11 and (7 X 6 X 5 X 4 X 3 X 2 X 1) + 3 are composite numbers.​

Answer 1

Answer:

These are composite numbers.

Step-by-step explanation:

1)(7 x 13 x 11) + 11

Taking 11 common,

we can write the number as

(7 × 13 + 1)11= 92 × 11

92 × 11 is a product of 2 numbers,

which is not of the form 1 × prime.

∴ 92 × 11 is composite.

and 2) (7 X 6 X 5 X 4 X 3 X 2 X 1) + 3

Taking 3 common,

Taking 3 common, we can write the number as

Taking 3 common, we can write the number as (7 × 6 × 5 × 4 × 2 × 1 + 1)3

Taking 3 common, we can write the number as (7 × 6 × 5 × 4 × 2 × 1 + 1)3The above expression is a product of 2 numbers, which is not of the form 1 × prime.

Taking 3 common, we can write the number as (7 × 6 × 5 × 4 × 2 × 1 + 1)3The above expression is a product of 2 numbers, which is not of the form 1 × prime.Hence, the given number is a composite number.

I Hope it helps you.